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Finding the Fourth Proportional to 12,883.92, 19,291.24 and 8,178.46

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Solution

The fourth proportional to 12,883.92, 19,291.24 and 8,178.46 is: 12,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,883.92 : 19,291.24 = 8,178.46 : x
  2. Step 2: Convert to fraction form
    12,883.92/19,291.24 = 8,178.46/x
  3. Step 3: Cross multiply
    12,883.92x = 19,291.24 × 8,178.46
  4. Step 4: Simplify right side
    12,883.92x = 157,772,517.79
  5. Step 5: Solve for x
    x = 157,772,517.79/12,883.92
  6. Step 6: Final answer
    x = 12,245.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.